2484
2484 is a even composite number that follows 2483 and precedes 2485. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484. Its prime factorization can be written as 2^2 × 3^3 × 23. 2484 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2484 is represented as 100110110100 in binary and 9B4 in hexadecimal. Historically, it is written as MMCDLXXXIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3^3 × 23) reveals 6 prime building blocks.
Divisible by 2
2484 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
2484 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
2484 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 2484 within several notable number theory sequences:
Timeline
Deep dive
How 2484 breaks down
2484 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4236, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110110100 supports bitwise reasoning, hexadecimal 9B4 aligns with computing notation, and the Roman numeral MMCDLXXXIV keeps the encyclopedic tradition alive. These attributes make 2484 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2484 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2479–2489) to tune search ranges, and educators feature 2484 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 2484 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 2484
Is 2484 a prime number?
2484 is composite with 24 total factors and the prime factorization 2^2 × 3^3 × 23.
What is the prime factorization of 2484?
It breaks down as 2^2 × 3^3 × 23, multiplying the primes 2 × 2 × 3 × 3 × 3 × 23.
How is 2484 represented in binary and hexadecimal?
2484 converts to 100110110100 in binary and 9B4 in hexadecimal, which are helpful for computer science applications.
Is 2484 a perfect square, cube, or triangular number?
2484 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2484?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.